Question: 9. Let X be defined by the probability density function (a) Define Y = X2 and find Cov(X,Y). (b) Without doing any calculations, find the

9. Let X be defined by the probability density function

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(a) Define Y = X2 and find Cov(X,Y).

(b) Without doing any calculations, find the regression function E(Y|X = x) (Hint. When the value of X is given, the value of Y is known).

(c) On the basis of the regression function found above, comment on the appropriateness of the linear correlation coefficient as a measure of dependence between X and Y.

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